document.write( "Question 317149: The sum of two consecutive positive integers is forty-one. Find the two integers. I know the answers are 4 and 5 from the back of the book but no idea how they're coming up with that. Thanks. \n" ); document.write( "

Algebra.Com's Answer #227062 by Fombitz(32388) $\"\"$ $\"About$

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The answers can't be $\"4\"$ and $\"5\"$ because $\"4%2B5=9\"$ and not $\"41\"$ .
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\n" ); document.write( "Let the first number be $\"N\"$ .
\n" ); document.write( "The next consecutive integer would be, $\"N%2B1\"$ .
\n" ); document.write( " $\"N%2BN%2B1=41\"$
\n" ); document.write( " $\"2N%2B1=41\"$
\n" ); document.write( " $\"2N=40\"$
\n" ); document.write( " $\"N=20\"$
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\n" ); document.write( " $\"20\"$ and $\"21\"$ are the integers. \n" ); document.write( "

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